(I'I) = (,6',x) ) Assume the population is at a given instant (x, y) = (3, 3). Then, at the very next instant O Both rabbits and sheep would decrease O Both rabbits and sheep would increase O The rabbits would increase and the sheep would decrease. O The rabbits would decrease and the sheep would increase

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The Lotka-Voltera model of competition between sheeps and rabbits competing for the same food supply (grass) is given below
i(t) = 1(3 – 1 – 2y)
ý(t) = y(2 – x - y)
where r(t) is the population of rabbits and y(t) is the population of sheep.
%3D
9) The population of each animal where they can co-exist without either of them decreasing/increasing in number is:
(x*, y*) = (1, 2)
(x*, y*) = (2, 1)
(r*, y*) = (2, 2)
(r*, y*) = (1, 1)
10) Assume the population is at a given instant (x, y) = (3, 3). Then, at the very next instant
O Both rabbits and sheep would decrease
O Both rabbits and sheep would increase
O The rabbits would increase and the sheep would decrease.
O The rabbits would decrease and the sheep would increase
Transcribed Image Text:The Lotka-Voltera model of competition between sheeps and rabbits competing for the same food supply (grass) is given below i(t) = 1(3 – 1 – 2y) ý(t) = y(2 – x - y) where r(t) is the population of rabbits and y(t) is the population of sheep. %3D 9) The population of each animal where they can co-exist without either of them decreasing/increasing in number is: (x*, y*) = (1, 2) (x*, y*) = (2, 1) (r*, y*) = (2, 2) (r*, y*) = (1, 1) 10) Assume the population is at a given instant (x, y) = (3, 3). Then, at the very next instant O Both rabbits and sheep would decrease O Both rabbits and sheep would increase O The rabbits would increase and the sheep would decrease. O The rabbits would decrease and the sheep would increase
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